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Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses.

After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on.

She writes the equation of the function like this: E(x) = 10x - 35, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

What does the slope of Jessica's function represent?

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Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. 

After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on. 

She writes the equation of the function like this: E(x) = 10x - 35, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.

What does the slope of Jessica's function represent?

anonymous · Answer

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shiraz14 · Answer

The gradient of the slope here is the coefficient of x - i.e. the number '10'. In this case, the gradient of the slope represents the amount of commission she earns per sale, i.e. $10 per book sold.